1. 4 Shear Stress in Beams
SS
fig by Case, Chilver, Ross, Strenth of Materials and Structures
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
2. Lecture Overview
4.1 Shear Flow (horizontal Plane)
1 example
4.2 Shearing Stress Formula
4.2 Shearing Stress Formula
1 example
4.3 Shear Flow and Shear stress (vert. plane)
1 example
1 example
4.4 Shearing Stress in thin walled members
1 example (Shear Center)
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
3. recalling:
relation of shear stress, shear force and bending moment functions
dM fig by Case, Chilver, Ross, Strenth of Materials and Structures
=
=
M' =
M =
V
V
dx
dV
V' =
= -w
dx
fig by J.L. Meriam, L.G. Kraige, Engineering Mechanics I
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
4. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
5. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
6. fig by G. Schierle, Architectural Structures
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
7. fig by G. Schierle, Architectural Structures
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
8. fig by G. Schierle, Architectural Structures
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
9. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
10. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
11. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
12. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
13. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
14. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
15. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
16. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
17. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
18. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
19. fig by da Silva, Mechanics and Strength of Materials
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
20. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
21. fig by da Silva, Mechanics and Strength of Materials
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
22. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
23. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
24. 1 =
q 1 0.465kN / cm
= = 0.465 kN / cm²
2 t 2 0.5cm
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
25. 1 =
q 1 0.465kN / cm
= = 0.465 kN / cm²
2 t 2 0.5cm
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
26. 1 =
q 1 0.465kN / cm
= = 0.465 kN / cm²
2 t 2 0.5cm
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
27. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
28. fig by Case, Chilver, Ross, Strenth of Materials and Structures fig by da Silva, Mechanics and Strength of Materials
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
29. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
30. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
31. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier